100011101001101 has 2 divisors, whose sum is σ = 100011101001102. Its totient is φ = 100011101001100.

The previous prime is 100011101001067. The next prime is 100011101001109. The reversal of 100011101001101 is 101100101110001.

It is an a-pointer prime, because the next prime (100011101001109) can be obtained adding 100011101001101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70142132508100 + 29868968493001 = 8375090^2 + 5465251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011101001101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011101001109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550500550 + 50005550500551.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550500551).

Almost surely, 2^{100011101001101} is an apocalyptic number.

It is an amenable number.

100011101001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101001101 is an equidigital number, since it uses as much as digits as its factorization.

100011101001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011101001101 its reverse (101100101110001), we get a palindrome (201111202111102).

The spelling of 100011101001101 in words is "one hundred trillion, eleven billion, one hundred one million, one thousand, one hundred one".